Given numbers are 129,266,171,149

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 129,266,171,149 is 15338358.

Find LCM of 129,266,171,149 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

3 x 19 x 43 x 14 x 3 x 149 = 15338358

Therefore, the lowest common multiple of 129,266,171,149 is 15338358.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

129 x 266 x 171 x 149 = 874286406

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

129 : 1, 3, 43, 129

266 : 1, 2, 7, 14, 19, 38, 133, 266

171 : 1, 3, 9, 19, 57, 171

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,266,171,149, is 1.

Now, the common factors can be found like this.

129:3x 43

266:2x 7x 19

171:3x 3x 19

149:149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 19 = 57

Therefore, the value for common factors is 57.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 874286406/(1x57)

LCM = 874286406/57

LCM = 15338358

Thus, we can understand that the LCM of 129,266,171,149 is 15338358.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 224, 379, 657, 422
• LCM of 868, 485, 931, 231
• LCM of 912, 194, 631, 505
• LCM of 140, 459, 189, 317
• LCM of 242, 265, 824, 217

1. What is the LCM of 129, 266, 171, 149?

Answer: LCM of 129, 266, 171, 149 is 15338358.

2. How to calculate the LCM of 129, 266, 171, 149?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 129, 266, 171, 149.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.